Question

The length of a rectangle field is twice its breadth. If the perimeter of the field is 222 metres , then find the length and breadth of the field
please ans me​

Answer 1

★ ${\underline{\underline{\large{\bold{Given:-}}}}}$

• The length of a rectangle field is twice its breadth.
• The perimeter of the field is 222 m.

★ ${\underline{\underline{\large{\bold{To\: find:-}}}}}$

• Length and breadth.

★ ${\underline{\underline{\large{\bold{Solution:-}}}}}$

Consider,

• Length of the rectangle field =x m
• Breadth of the rectangle field = y m

According to the 1st condition :-

• The length of a rectangle field is twice its breadth.

$\to\sf{x=2y....................(1)}$

According to the 2nd condition :-

• The perimeter of the field is 222 m.

$\to\sf{2(x+y)=222}$

$\to\sf{x+y =\dfrac{222}{2}}$

$\to\sf{x+y=111}$

$\to\sf{2y+y=111\:[put\:x=2y\: from\:eq(1)]}$

$\to\sf{3y=111}$

$\to\sf{y=37}$

• Breadth = 37 m

Now, put y= 37 in eq(1) for getting the value of x.

$\to\sf{x=2y}$

$\to\sf{x=2\times\:37}$

$\to\sf{x=74}$

• Length = 74 m

Therefore, length of the rectangle field is 74 m & the breadth of the rectangle field is 37 m.

______________________

★ ${\underline{\underline{\large{\bold{Verification:-}}}}}$

• Length = 74 m
• Breadth = 37 m

Perimeter of rectangle field = 222 m

→ 2(74+37) = 222

→ 222 = 222

Hence Verified !

Answer 2

Explanation

let the length be x.

breath equals to 2x.

2(x+2x)=222

2×3x=222

6x=222

x=222÷6

x=37

length = 37m

breadth = 37 ×2= 74

Hope it helps you